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Finding the Fourth Proportional to 482.35, 662.90 and 433.75

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Solution

The fourth proportional to 482.35, 662.90 and 433.75 is: 596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.35 : 662.90 = 433.75 : x
  2. Step 2: Convert to fraction form
    482.35/662.90 = 433.75/x
  3. Step 3: Cross multiply
    482.35x = 662.90 × 433.75
  4. Step 4: Simplify right side
    482.35x = 287,532.88
  5. Step 5: Solve for x
    x = 287,532.88/482.35
  6. Step 6: Final answer
    x = 596.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.